Answer:
the first one is 6^10
the 2nd one is also 6^10
Step-by-step explanation:
Answer:
\(6^{10}\)
Step-by-step explanation:
Any number to the power of zero becomes 1. Any number times 1 is itself.
Solve for w.
9- w = 224
Answer:
-215
Step-by-step explanation:
-w = 215
w = -215
hope this helped
The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?
Answer:
no.
Step-by-step explanation:
which of the following values could not represent a correlation coefficient? a. 0 b. 0.927 c. −1 d. 1.032
A correlation coefficient, r can never be less than -1 or greater than 1. Thus, d. 1.032 is not possible as a correlation coefficient.
The correlation coefficient, r is a measure of the direction and strength of the linear relationship between two variables. The correlation coefficient (r) varies between -1 and 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation. A value greater than 1 or less than -1 is not possible. Therefore, the value that could not represent a correlation coefficient is d. 1.032.
Given, the correlation coefficient varies between -1 and 1. The value that could not represent a correlation coefficient is 1.032 since it is greater than 1. A correlation coefficient, r of -1 indicates a perfect negative correlation where one variable decreases as the other increases. A correlation coefficient, r of 1 indicates a perfect positive correlation where both variables move in the same direction. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient, r can never be less than -1 or greater than 1.
Thus, d. 1.032 is not possible as a correlation coefficient.
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An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited initially. Show all work.
The intital amount deposited was $18485.82.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
\(a = p(1 + \dfrac{r}{n})^{nt}\)
An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.
A = 26000
R = 0.02.3
\(a = p(1 + \dfrac{r}{n})^{nt}\)
\(26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82\)
Therefore, the intital amount deposited was $18485.82.
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What is 4(5^2 - 10)
Answer:
(25-10)*4=
15*4=60
Step-by-step explanation:
Answer:
4(25 - 10)
100 - 40
100 - 40 = 60
Step-by-step explanation:
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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the kutta-joukowski theorem, equation (3.140), was derived exactly for the case of the lifting cylinder. in section 3.16 it is stated without proof that equation (3.140) also applies in general to a two-dimensional body of arbitrary shape. although this general result can be proven mathematically, it also can be accepted by making a physical argument as well. make this physical argument by drawing a closed curve around the body where the closed curve is very far away from the body, so far away that in perspective the body becomes a very small speck in the middle of the domain enclosed by the closed curve.
The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.
A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.
The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.
By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.
Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.
This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.
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what is the solution? pls help
Answer:
Solve by substitution
[y=5/2x-4]
[y= -x+3]
Substitute y = -x +3
[-x+3=5/2x-4]
Isolate x for -x+3=5/2x-4: x=2
For y = -x+3
Substitute x = 2
y= -2+3
Simplify
y=1
The solutions to the system of equations are:
y=1 x=2
Wright a paragraph to prove that the measure of angle 1 is equal to the measure of angle 3?
What do 5 angles add up to?.
The sum of the interior angles for a Polygon of 5 angles is 540°
What is an angle?An angle is the opening formed by two half-straights (sides) with the same origin called vertex. For example, within a triangle there are three angles, which in total add up to 180°.
The sum of the interior angles of a Polygon is calculating by the formulation:
Sum of Interior Angles = (n-2) x 180°
Replacing the number of angles (n = 5) in the equation we get:
Sum of Interior Angles = (n-2) x 180°
Sum of Interior Angles = (5-2) x 180°
Sum of Interior Angles = 3 x 180°
Sum of Interior Angles = 540°
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The linear equation y = 13x + 80 can be used to model the total cost y (in pounds) for x people attending the greyhound racing evening at Option A. (i) Explain why this equation holds.
Answer:
Justification of 'Cost of Match , based on attendants' linear equation
Step-by-step explanation:
Yes , this linear equation might hold right in denoting total cost 'y' for 'x' people attending racing event
Given equation : y = 13x + 80
Cost 'y' is the variable dependent on explanatory variable ie no. of race attendants. So, y is on LHS, being determined by x on LHS.
80 is the autonomous constant intercept of equation, denoting fixed setup cost irrespective of no. of attendants. +13x denotes every additional attendant increases cost by 13 units (above the level of fixed cost), this is the positive slope of equation (as variables are directly related)
Mia and Vincent are asked to choreograph a dance for the school musical.. Mia can choreograph the dance for the show in 20 hours and Vincent can choreograph the dance by himself in 16 hours. How long would it take to choregraph the dance for the musical if they worked together?
Write your answer as a number only. No units.
Round your answer to two decimal places, if necessary.
Mia and Vincent together can finish the work in 8.88 hours.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Mia can choreograph the dance for the show in 20 hours.
So, the efficiency of Ma is (1/20).
Vincent can choreograph the dance by himself in 16 hours.
So, the efficiency of Vincent is (1/16).
Therefore, Together their efficiency is (1/20 + 1/16).
= (4 + 5)/80.
= 9/80.
Hence together they can do the work in 80/9 Or 8.88 hours.
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Lit the ign and ymptom of drug ue and abue baed from the interview lit them according to the change they caue in a peron
Some of the signs and symptoms of drug abuse are: sudden weight loss, secretive behavior, depression and anxiety, low performance at work, etc.
Drug addiction, also known as substance use disorder, is a condition that affects the behavior and brain of a person, resulting in the inability to manage the use of a legal or illegal drug or medicine.
Substance addiction can begin with the trial use of a recreational drug in social contexts, and for some people, the drug usage progresses to more frequent use. People, particularly those addicted to opioids, become addicted to drugs when they consume prescribed medications.
Signs and symptoms of drug abuse includes:
Physical: rapid weight loss, sleep disorder, complexion change, constricted pupils and bloodshot eyes.Behavior: ignore or avoid responsibilities, withdraw from friends and family, financial distress.Psychological: depression and anxiety, lack of motivation, low self esteem, mood swing.Performance change: low performance at work, more conflict, poor decision making.There are typos in your question, most likely it was:
List the sign and symptoms of drug use and abuse based from the interview, list them according to the change they cause in a person.
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Find all solutions of the recurrence relation an = 5an−1 −6an−2 2n 3n. (hint: look for a particular solution of the form q n2 n p1n p2, where q, p1, and p2 are constants. )
All the solutions to the recurrence relation are derived below. And the general solution will be given below.
\(\rm a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)
What is an auxiliary solution?A Volterra integral expression of the second sort for the thickness of a piezoelectric coating on the surface is obtained by solving an auxiliary question in the abdomen and pelvis.
The equation is given below.
\(\rm a _n = 5a_{n-1} - 6a _{a-2} + 2^n + 3n\)
Then the equation associated with a homogeneous linear recurrence relation, then we have
\(\rm a _n - 5a_{n-1} + 6a _{a-2} = 0\)
The relative equation will be
r² - 5r + 6 = 0
On solving, we have
r = 2, 3
Then we have
\(\rm a_n^h = \alpha _1 2^n + \alpha _2 3^n\)
Let a suitable coefficient C such that \(C\cdot 2^n = a_n^{p_1}\)
Then replace this in the recurrence relation, then we have
\(\rm C\cdot 2^n = 5C \cdot 2^{n-1} - 6C \cdot 2^{n -2}\)
Let
\(a_n^{p_1} = b \cdot n \cdot 2^n\\\\a_n^{p_1} = -2n \cdot 2^n\)
Then we have
dn + e = {d(n - 1) + e} - 6 {d(n - 2) + e} + 3n
dn + e = (-d + 3)n + (7d - e)
In comparing we have
d = -d + 3
d = 3/2
and
7d - e = e
e = 21/4
Then the recurrence relation can be written as
\(\rm a_n^{p_1} = \dfrac{3}{2}n + \dfrac{21}{4}\)
Then the general solution will be
\(\rm a_n = a_n ^{h} + a_n ^{p_1} +a_n ^{p_2} \\\\a_n = \alpha _1 \cdot 2^n + \alpha _2 \cdot 3^n - n \cdot 2^{n+ 1} + \dfrac{3}{2}n + \dfrac{21}{4}\)
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$5,000 was invested at 4.5% interest compounded continuously. How many years will
it take the investment to grow to $7,840? Round your answer to the nearest whole
year.
Answer:
The continuous compounding formula is:
A = Pe^(rt)
where A is the amount after t years, P is the initial principal, r is the annual interest rate as a decimal, and e is Euler's number (approximately 2.71828).
We are given that P = $5,000, r = 0.045, and A = $7,840. We want to find t, the number of years.
We can solve for t by isolating it on one side of the equation:
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P) / r
Substituting in the values we have:
t = ln(7840/5000) / 0.045
t ≈ 11
So it will take about 11 years for the investment to grow to $7,840
50 POINTS The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.
coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 26 and 13 comma 0
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is 13, which means that the swimmer will finish the race after 13 minutes.
The slope of the line is 26, which means that the swimmer must complete 26 laps in the race.
The slope of the line is negative one half, which means that the swimmer completes a lap in one half of a minute.
The slope of the line is −2, which means that the swimmer will complete 2 laps every minute.
The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.
Here, we have,
In real world scenario it means how many laps they can complete per minute.
Let us consider the coordinate on the y-axis and the x-axis be ,
( x₁ , y₁ ) = ( 0, 24 )
( x₂ , y₂ ) = ( 6, 0)
The slope of a line represents the rate of change between two variables.
Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
= ( 0 - 24 ) / ( 6 - 0 )
= -4
Since the slope of the line is -4, this means that for every one minute that passes.
The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.
So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.
And that they will finish the race after 6 minutes when they have completed all 24 laps.
Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.
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Answer:
The slope of the line is -1/2, which means that the swimmer completes a lap in 1/2 of a minute
Step-by-step explanation:
The graph is not rally shown but, if you actually see the graph there will be a rise/run of 4/2 which gives 1/2.How many solutions are there for the system of equations shown on the graph?
1)No solution
2)One solution
3)Two solutions
4)Infinitely many solutions
Answer:
The answer is 1) aka no solution
Step-by-step explanation:
Please help. I thought I worked it out correctly but the answer is apparently wrong
Answer:
ready-steady paint
Step-by-step explanation:
if he needs 12 tins, and purchased from paint -O mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30
from ready steady, he can buy 4 for £11. he needs 12.
so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.
33 X 0.85 = £28.05.
so he his better purchasing from ready steady paint
Given that sin ×=5/13, 0°<x<90°,evaluate cos×-sin×\2tan ×
Carol ate 25% of the candies in the bag. If Carol ate 24 candies, how many candies were there total in the bag?
Answer:
6
Step-by-step explanation:
100/4 = 25%
24/4 = 6
if you do all of these right i will give you brainliest.
For the following net shapes:
Question 5 - A, 564 sq. cm.Question 7 - D, 8 square feetQuestion 9 - B, 294 sq. mm.Question 10 - B, 336 sq. in.How to solve surface area?Question 5:
The cardboard needed to make the chocolate bar box is; The four faces are two triangles and two rectangles. The area of a triangle is (1/2)bh, where b = base and h = height. The area of a rectangle is bh.
The two triangles have bases of 6 cm and 5 cm and heights of 30 cm. The two rectangles have dimensions of 6 cm by 5 cm and 4 cm by 5 cm.
The total area of the four faces is:
(1/2)(6)(30) + (1/2)(5)(30) + 6(5) + 4(5) = 564 sq. cm.
So the answer is 564
Question 7
The area of the image is the sum of the areas of the three rectangles. The three rectangles have dimensions of 3 ft by 1 ft, 1 ft by 1 ft, and 4 ft by 1 ft.
The total area of the three rectangles is:
3(1) + 1(1) + 4(1) = 8 square feet
So the answer is 8
Question 9:
The surface area of a cube is the sum of the areas of all the faces of the cube. A cube has six faces, each of which is a square. The area of a square is equal to the square of the length of its side. In this case, the side length of the cube is 7 mm, so the area of each face is 7² = 49 square mm.
The total surface area of the cube is therefore 6 × 49 = 294 square mm.
So the answer is 294
Question 10:
The surface area of a rectangular prism is the sum of the areas of all its faces. A rectangular prism has six faces, each of which is a rectangle. The area of a rectangle is equal to the product of its length and width.
In this case, the rectangular prism has dimensions of 9 inches by 6 inches by 7 inches. The area of each face is therefore:
Top and bottom: 9 × 6 = 54 square inches
Front and back: 6 × 7 = 42 square inches
Left and right: 9 × 7 = 63 square inches
The total surface area of the rectangular prism is therefore:
2 × 54 + 2 × 42 + 2 × 63 = 336 square inches
So the answer is 336
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nomas necesito la respuesta para (D)
Answer:
Tanong mo sananay mo mgaling yun
Callan knows that the area of a square piece of artwork he owns is 289 square inches. Which shows the correct step he should take if he wants to find out the side lengths of the piece of artwork?.
Answer:
One side length is 17. Because you square root 289 to figure out the side length.
Step-by-step explanation:
The area of a square is a side length * a side length
or l^2 = 289
sqrt or 289 = 17
The probability distribution of the number of pets x per household in a certain locality is given in the following table.
X 0 1. 2. 3 4 P(x) ? 0.28 0.40 0.10 0.07 The expected number of pets in this locality is. Select one: a. 1.25 b. 0
c. 0.74 d. 1.66 e. 2.27
The expected number of pets in this locality is 1.66. Option (d) is the correct answer.
The expected value of a discrete random variable can be computed by summing the product of the value of the random variable with its probability.
That is, Expected value = E(X) = x₁p₁ + x₂p₂ + x₃p₃ + ... + xₙpₙ
where p is the probability of the corresponding value x.
For the given probability distribution of the number of pets x per household, we can compute the expected number of pets in the locality as follows:
E(X) = 0 × ? + 1 × 0.28 + 2 × 0.40 + 3 × 0.10 + 4 × 0.07 = 0 + 0.28 + 0.80 + 0.30 + 0.28 = 1.66
Therefore, the expected number of pets in this locality is 1.66. Option (d) is the correct answer.
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YYYYYYYYYYYYYYYYYYYYYYYYYYYY HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
6.723=6.7, 6.538=6.5, 6.647=6.6, 6.49=6.5, 6.687=6.7, 6.56=6.6
Step-by-step explanation:
This should be correct
Answer:
Step-by-step explanation:
Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Express 0.9 as a fraction.
Answer:
9/10
Step-by-step explanation:
9 is in the tenth place so the denominator is 10.
Answer:
the answer is 9/10
what is the missing variable
Answer: x= 18
Step-by-step explanation: these are corresponding angles which means they are equal.
(4x-7) = (7x-61)
-7 = 3x -61
54 = 3x
18 = x
Hamza wants to create a bumper sticker with his design. Bumper stickers usually have a height of 3 1/2 inches. What will the width of his sticker be?
The width of the bumper sticker is 6 1/4 inches .
What is the width of the bumper sticker?In order to determine the width of the bumper sticker, the first step is to determine the relationship between the height of the design and that of the bumper sticker.
The relationship can be determined by dividing the height of the bumper sticker by the height of the design.
Proportion of the heights = 3 1/2 ÷ 2
5/2 ÷ 2
= 5/2 x 1/2 = 5/4 = 1 1/4
Now, multiply the proportion of the heights by the width of the design :
Width of the design = 1 1/4 x 5
5/4 x 5/1 = 25/4 = 6 1/4 inches
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Answer: 6 1/4
Step-by-step explanation: stickers that can be custom screen printed. The most common or average size is probably the 3″ X 11.5″
Find the missing side lengths. Leave your answers as radicals in simplest form. *
That's the isosceles right triangle, one of the two cliche triangles students are expected to learn. The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.
So v= 3√2 (the two legs are equal) and hypotenuse u = √2 × v = 6.
Answer: C
What is the LCM of 20, 10 and 50?
1.50
2.100
3.10
4.200
Step-by-step explanation:
2 _|_20, 10, 50
5 _|_ 10, 5, 25
1 _|_ 2, 1, 5
Further, it is not divisible.
So, LCM = 2×5×2×5
LCM = 100 is the answer.
Hope it helps :)
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